GCD of 632, 300, 920, 754 Calculator

Given Input numbers are 632, 300, 920, 754

In the factoring method, we have to find the divisors of all numbers

Divisors of 632 :

The positive integer divisors of 632 that completely divides 632 are.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 754 :

The positive integer divisors of 754 that completely divides 754 are.

1, 2, 13, 26, 29, 58, 377, 754

GCD of numbers is the greatest common divisor

So, the GCD (632, 300, 920, 754) = 2.

Given numbers are 632, 300, 920, 754

The list of prime factors of all numbers are

Prime factors of 632 are 2 x 2 x 2 x 79

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 754 are 2 x 13 x 29

The highest common occurrence is 2¹

Therefore, GCD of 632, 300, 920, 754 is 2.

Given numbers are 632, 300, 920, 754

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(632, 300) = 47400

GCD(632, 300) = ( 632 x 300 ) / 47400

= 632 / 300

= 632

Step2:

LCM(4, 920) = 920

GCD(4, 920) = ( 4 x 920 ) / 920

= 4 / 920

= 4

Step3:

LCM(4, 754) = 1508

GCD(4, 754) = ( 4 x 754 ) / 1508

= 4 / 754

= 4

So, Greatest Common Divisor of 632, 300, 920, 754 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 107, 665, 750, 964
• GCD of 329, 519, 782, 999
• GCD of 356, 250, 684, 978
• GCD of 525, 385, 654, 197
• GCD of 882, 194, 130, 447

Given numbers are 632, 300, 920, 754
The greatest common divisor of numbers 632, 300, 920, 754 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 632, 300, 920, 754 is 2.

1. What is the GCD of 632, 300, 920, 754?

GCD of given numbers 632, 300, 920, 754 is 2

2. How to calculate the greatest common divisor of 632, 300, 920, 754?

We can find the highest common divisor of 632, 300, 920, 754 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 632, 300, 920, 754 i.e 2.

3. How can I use the GCD of 632, 300, 920, 754Calculator?

Out the numbers 632, 300, 920, 754 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.